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Finding the Fourth Proportional to 5,834.37, 8,752.80 and 1,885.95

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Solution

The fourth proportional to 5,834.37, 8,752.80 and 1,885.95 is: 2,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.37 : 8,752.80 = 1,885.95 : x
  2. Step 2: Convert to fraction form
    5,834.37/8,752.80 = 1,885.95/x
  3. Step 3: Cross multiply
    5,834.37x = 8,752.80 × 1,885.95
  4. Step 4: Simplify right side
    5,834.37x = 16,507,343.16
  5. Step 5: Solve for x
    x = 16,507,343.16/5,834.37
  6. Step 6: Final answer
    x = 2,829.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.